LCM of 512, 798, 399, 548, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 512, 798, 399, 548, 813 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 512, 798, 399, 548, 813. So, keep reading to learn more.
Given numbers are 512,798,399,548,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,798,399,548,813 is 7584600576.
Find LCM of 512,798,399,548,813 with Prime Factorization
| 2 | 512, 798, 399, 548, 813 |
| 2 | 256, 399, 399, 274, 813 |
| 3 | 128, 399, 399, 137, 813 |
| 7 | 128, 133, 133, 137, 271 |
| 19 | 128, 19, 19, 137, 271 |
| 128, 1, 1, 137, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 128 x 1 x 1 x 137 x 271 = 7584600576
Therefore, the lowest common multiple of 512,798,399,548,813 is 7584600576.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
512 x 798 x 399 x 548 x 813 = 72630135115776
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
399 : 1, 3, 7, 19, 21, 57, 133, 399
548 : 1, 2, 4, 137, 274, 548
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,798,399,548,813, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
798:2x 3x 7x 19
399:3x 7x 19
548:2x 2x 137
813:3x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 7x 19 = 9576
Therefore, the value for common factors is 9576.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 72630135115776/(1x9576)
LCM = 72630135115776/9576
LCM = 7584600576
Thus, we can understand that the LCM of 512,798,399,548,813 is 7584600576.
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FAQs on LCM of 512, 798, 399, 548, 813
1. What is the LCM of 512, 798, 399, 548, 813?
Answer: LCM of 512, 798, 399, 548, 813 is 7584600576.
2. How to calculate the LCM of 512, 798, 399, 548, 813?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 512, 798, 399, 548, 813.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.